...Complete 12 questions below by choosing at least four from each section. · Ch. 11 of Discrete and Combinatorial Mathematics o Exercise 11.1, problems 3, 6, 8, 11, 15, & 16 · Ch. 11 of Discrete and Combinatorial Mathematics o Exercise 11.2, problems 1, 6, 12, & 13, o Exercise 11.3, problems 5, 20, 21, & 22 o Exercise 11.4, problems 14, 17, & 24 o Exercise 11.5, problems 4 & 7 o Exercise 11.6, problems 9 &10 · Ch. 12 of Discrete and Combinatorial Mathematics o Exercise 12.1, problems 2, 6, 7, & 11 o Exercise 12.2, problems 6 & 9 o Exercise 12.3, problems 2 & 3 * Exercise 12.5, problems 3 & 8 Section 11.1 3). For the graph in Fig. 11.7, how many paths are there from b to f ? 1). b a c d e g f 2). b a c d e f 3). b c d e g f 4). b c d e f 5). b e g f 6). b e f This would = 6 ways. 6). If a, b are distinct vertices in a connected undirected graph G, the distance from a to b is defined to be the length of a shortest path from a to b (when a = b the distance is defined to be 0). For the graph in Fig. 11.9, find the distances from d to (each of) the other vertices in G. d to e = 1 d to f = 1 d to c = 1 d to k = 2 d to g = 2 d to h = 3 d to j = 3 d to l = 3 d to m = 3 d to i = 4 Section 11.2 1). Let G be the undirected graph in Fig. 11.27(a). a) How many connected subgraphs of G have four vertices and include a cycle? 3 b) Describe the subgraph G1 (of...
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...Week 1 DQ 1 Response 1) Given the enumeration methods; sum rule, product rule, permutations, combinations along with enumeration methods for indistinguishable objects, how can we devise a strategy to solve problems requiring these methods? A basic concept in the branch of the theory of algorithms called enumeration theory, which investigates general properties of classes of objects numbered by arbitrary constructive objects (cf. Constructive object). Most often, natural numbers appear in the role of the constructive objects that serve as numbers of the elements of the classes in question ("Enumeration", 2013). The Sum/Difference Rules refer to the derivative of the sum of two functions is the sum of the derivatives of the two functions ("Basic Derivative Rules", 2013). The product rule is one of several rules used to find the derivative of a function. Specifically, it is used to find the derivative of the product of two functions. It is also called Leibnitz's Law, and it states that for two functions f and g their derivative (in Leibnitz notation, ). The derivative of f times g is not equal to the derivative of f times the derivative of g: .The product rule can be used with multiple functions and is used to derive the power rule. The product rule can also be applied to dot products and cross products of vector functions. The Leibnitz Identity, a generalization of the product rule, can be applied to find higher-order derivatives ("Definition Of Product Rule", 2013). A permutation...
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...MATH 221 FINAL EXAM (UPDATED) – DEVRY To purchase this, Click here http://www.activitymode.com/product/math-221-final-exam-updated-devry/ Contact us at: SUPPORT@ACTIVITYMODE.COM MATH 221 FINAL EXAM (UPDATED) – DEVRY MATH 221 FINAL EXAM (UPDATED) – DEVRY MATH 221 FINAL EXAM (UPDATED) – DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) - DEVRY MATH 221 FINAL EXAM (UPDATED) – DEVRY To purchase this, Click here http://www.activitymode.com/product/math-221-final-exam-updated-devry/ Contact...
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...MATH 221 Homework Week 1 -Latest IF You Want To Purcahse A+ Work then Click The Link Below For Instant Down Load http://www.acehomework.net/wp-admin/post.php?post=3308&action=edit IF You Face Any Problem Then E Mail Us At JOHNMATE1122@GMAIL.COM MATH 221 Homework Week 1 1. Determine whether the data set is a population or a sample. Explain your reasoning. The age of each resident in an apartment building. Choose the correct answer below. 1. Population, because it is a collection of ages for all people in the apartment building. 2. Sample, because it is a collection of ages for all people in the apartment building, but there are other apartment buildings 3. Population, because it is a subset of all apartment buildings in the city. 4. Sample, because it is a collection of ages for some people in the apartment building. 1. Determine whether the data set is a population or a sample. Explain your reasoning. The salary of each baseball player in a league Choose the correct answer below 1. Sample, because it is a collection of salaries for some baseball players in the league 2. Sample, because it is a collection of salaries for all baseball players in the league, but there are other sports 3. Population, because it is a collection of salaries for all baseball players in the league 4. Population, because it is a subset of all athletes 2. Determine whether the underlined value is a parameter or a statistic. The average age of men who have walked on the moon...
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...* MTH/221 Week Four Individual problems: * * Ch. 11 of Discrete and Combinatorial Mathematics * Exercise 11.1, problems 8, 11 , text-pg:519 Exercise 11.2, problems 1, 6, text-pg:528 Exercise 11.3, problems 5, 20 , text-pg:537 Exercise 11.4, problems 14 , text-pg:553 Exercise 11.5, problems 7 , text-pg:563 * Ch. 12 of Discrete and Combinatorial Mathematics * Exercise 12.1, problems 11 , text-pg:585 Exercise 12.2, problems 6 , text-pg:604 Exercise 12.3, problems 2 , text-pg:609 Exercise 12.5, problems 3 , text-pg:621 Chapter 11 Exercise 11.1 Problem 8: Figure 11.10 shows an undirected graph representing a section of a department store. The vertices indicate where cashiers are located; the edges denote unblocked aisles between cashiers. The department store wants to set up a security system where (plainclothes) guards are placed at certain cashier locations so that each cashier either has a guard at his or her location or is only one aisle away from a cashier who has a guard. What is the smallest number of guards needed? Figure 11.10 Problem 11: Let G be a graph that satisfies the condition in Exercise 10. (a) Must G be loop-free? (b) Could G be a multigraph? (c) If G has n vertices, can we determine how many edges it has? Exercise 11.2 Problem 1: Let G be the undirected graph in Fig. 11.27(a). a) How many connected subgraphs ofGhave four vertices and include a cycle? b) Describe the...
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...BIS 155 Complete Course, BIS 155 Complete Class, BIS 155 Entire Course, BIS 155 Entire Class, Strayer BIS 155 , BIS 155 LAW , BIS 155 All Assignments, BIS 155 All Dqs, BIS 155 ExerCises, BIS 155 Final, BIS 155 Week 1, BIS 155 Week 2, BIS 155 Week 3, BIS 155 Week 4, BIS 155 Week 5, BIS 155 Week 1-5, BIS 155 mcqs, BIS 155 , BIS 155 DeVry, BOSP 434 Complete Course, BOSP 434 Complete Class, BOSP 434 Entire Course, BOSP 434 Entire Class, Strayer BOSP 434 , BOSP/434 , BOSP 434 All Assignments, BOSP 434 All Dqs, BOSP 434 ExerCises, BOSP 434 Final, BOSP 434 Week 1, BOSP 434 Week 2, BOSP 434 Week 3, BOSP 434 Week 4, BOSP 434 Week 5, BOSP 434 Week 1-5, BOSP 434 mcqs, BOSP 434 , BOSP 434 DeVry, BUS 100 Complete Course, BUS 100 Complete Class, BUS 100 Entire Course, BUS 100 Entire Class, BUS 100 , BUS 100 New Course, BUS 100 All Assignments, BUS 100 All Dqs, BUS 100 ExerCises, BUS 100 Final, BUS 100 Week 1, BUS 100 Week 2, BUS 100 Week 3, BUS 100 Week 4, BUS 100 Week 5, BUS 100 Week 1-5, BUS 100 , BUS 100 , BUS 100 Strayer, BUS 475 Complete Course, BUS 475 Complete Class, BUS 475 Entire Course BUS 475 Entire Class, Strayer BUS 475 , BUS 475 New Course, BUS 475 All Assignments, BUS 475 All Dqs, BUS 475 ExerCises, BUS 475 Final, BUS 475 Week 1, BUS 475 Week 2, BUS 475 Week 3, BUS 475 Week 4, BUS 475 Week 5, BUS 475 Week 1-5, BUS 475 mcqs, BUS 475 , BUS 475 Strayer, BUSN 319...
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...Assignments for Math 221, Discrete Structures J. Stanley Warford April 5, 2013 Assignment 1 1. 2. 3. 4. 5. Study Section 12.2. Do Exercises 12.4(b, e). Do Exercise 12.8. Math 221, Discrete Structures Do Exercise 12.9. In your induction case, you should start with (n + 1)2 and use the result from Exercise 12.8. Do Exercise 12.10. i is divisible by 3 means that i = 3k for some integer k. You may use the fact that the sum of two expressions, each one divisible by 3, is also divisible by 3. 1 Assignment 2 1. 2. 3. 4. Study Section 12.5. Do Exercise 12.5. Do Exercise 12.14. Math 221, Discrete Structures Prove (12.16.1). There are two base cases, one for n = 1 and one for n = 2. For the induction case, there are two inductive hypotheses–one with n − 1 and one with n. You can assume both of them to prove the case for n + 1. Start with the RHS, use (12.14), then the inductive hypotheses. Prove (12.35a). The base case is n = 1. Prove (12.35b). The base case is n = 1. 5. 6. 1 Assignment 3 1. 2. Study Section 10.1. Math 221, Discrete Structures Do Exercise 10.1(a, b, c, d, e, g). For 10.1(d), you will need an implication in the body of a universal quantification. For 10.1(g), it is easiest to translate “It is not the case that” as ¬. 1 Assignment 4 1. Do Exercise 10.1(h, i, j, k, l, m). For 10.1(h) and (l), you will need an implication with the ∈ symbol. For 10.1(m), you will need to quantify with Σ with a body of 1. Do Exercise 10.3. Math 221, Discrete...
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...A Treasure Hunt at Castle Rock using Pythagorean Quadratic June Tye-Patterson Math 221: Introduction to Algebra Instructor: Shenita Talton 07-13-2014 A Treasure Hunt at Castle Rock using Pythagorean Quadratic For this week assignment we are given a word problem and the use of the Pythagorean Theorem to solve it. We will be helping Ahmed and Vanessa, who both have a half of a map, find buried treasure in the desert somewhere around a place named Castle Rock. Ahmed map says the treasure is 2x+6 paces from Castle rock, whereas, Vanessa map says in order to find the treasure, go to Castle Rock, walk x paces to the north and then walk 2x+4 paces to the east. In order to discover the location of the treasure, we need to factor down the three quadratic expressions by putting the measurements into the Pythagorean Theorem. The first thing we need to do is to write an equation by inserting the binomials into the Pythagorean Theorem, which also states that every right triangle with legs of length have the relationship of a^2+b^2=c^2 x^2+ (2x+4)^2=(2x+6)^2 The binomials into the Pythagorean Theorem. x^2(2x+4) (2x+4)=(2x+6) (2x+6) The equation squared. x^2 4x+8x+8x+16=4x^2+12x+12x+36 Equation FOILED or distributed. x^2+4x^2=5x^2 First two terms added...
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...Completion of Prerequisite Coursework All applicants must have: At least 45 academic credits earned (“sophomore”class standing). Completion of one English Composition course. 2.5 minimum GPA for coursework completed at UW; 2.5 minimum Weighted GPA (see application form). Applicants to the Bachelor of Arts must have ECON 200, ECON 201, eligible statistics course, and MATH 112 or MATH 124 completed with at least a 2.0 grade in each course and a 2.5 average across these 4 courses. Applicants to the Bachelor of Science must have ECON 200, ECON 201, eligible statistics course, and MATH 124, MATH 125, and MATH 126 completed with at least a 2.0 grade in each course and a 2.5 average across the first 4 courses listed. MATH 125/126 will be considered separately from the “prerequisite average” Regarding STATISTICS: Eligible statistics courses include: STAT 311, Q SCI 381, STAT 340, STAT 341, STAT 390. Ineligible statistics courses include: STAT 220, STAT 221, STAT 321, Q METH 201. Regarding MATH: MATH 134, MATH 135, and MATH 136 may substitute for MATH 124, MATH 125, and MATH 126, respectively. MATH 112 is only acceptable for the Bachelor of Arts. Repeating a course? Course repeats are not encouraged. However, students are permitted to repeat each prerequisite course one time. Please list the higher of the two...
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...VINCENNES UNIVERSITY CATALOG Vol. LXIX August, 2010 No. 61 A COMPREHENSIVE TWO-YEAR COLLEGE OFFERING ASSOCIATE DEGREES IN THE LIBERAL ARTS, SCIENCES, EDUCATION, ENGINEERING, AND TECHNOLOGY AND OFFERING BACCALAUREATE DEGREES IN SPECIALIZED AREAS Accreditation The North Central Association of Colleges and Schools 30 North LaSalle Street, Suite 2400, Chicago, IL 60602 (312) 263-0456 www.ncacihe.org FAX 312-263-7462 Accreditation Review Council on Education in Surgical Technology and Surgical Assisting American Bar Association American Board of Funeral Service Education American Health Information Management Association Association of Collegiate Business Schools and Programs Commission on Accreditation of Allied Health Educational Programs Commission on Accreditation in Physical Therapy Education Federal Aviation Administration Higher Education Coordinating Board of the State of Washington Indiana State Board of Nursing Joint Review Committee on Education In Radiologic Technology National Alliance of Concurrent Enrollment Partnerships National Association of Schools of Art and Design National Association of Schools of Theatre National League for Nursing Accrediting Commission Printing Industries of America, Inc. Approved for Veterans Membership The American Association of Community Colleges Aviation Technician Education Council The Council of North Central Two Year Colleges The Higher Education Transfer Alliance The National Academic Advising Association The North Central Association...
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...feeling of pride and joy. On the day after finding Wellington, (Mrs Shears’ dead dog) Christopher is determined to find out who killed Wellington. “ Because it was a Good Day, I decided that I would try and find out who killed Wellington…”, (Haddon 23) Christopher wrote after concluding his book would be about the murder of Wellington. At first it seems very improbable that he would actually figure out what happened to the dog. Christopher faced setbacks that would make most people would give up, but he persisted and eventually he found out what happened. Christopher also made a goal for his math test and when he got the results, he said, “I got an A grade, which is the best result, and it made me feel like this ☺” (220). Christopher had set out from the beginning of the novel to get an A grade and he did it. He faced setbacks and it looked unlikely that he would even get to write the math test. He struggled with some of the questions. However, Christopher got an A and he feels very proud of himself. He is now confident that he can get more A’s on his next tests. Achieving goals that once seemed unattainable, Christopher is now left with a sense of worth and accomplishment. Christopher is now taking more risks in his day to day life, that at one point in time, he would never take. While trying to solve the mystery of who killed Wellington, Christopher is deciding whether or not to talk to the people on his street. “Talking to other people on our street was brave. But if you are...
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...STUDENT SUCCESS PLANNER AGILE GRAD HOME COURSES PROGRAMS SIGN OUT BRANDON Brandon's Plan Health Science CSC 221-190-01 2015 - 2016 , Radiation Oncology Certificate 2015 - 2016 Plan Overview Term View Degree View Requirements View You have 2 unmet requirements. Search Search for a course. Start typing a course name or number. To add a course, start typing course number or name. Order by: Order by Group Order by Priority Show: Show Unmet Show All Health Science CSC 221-190-01 2015 - 2016 Requirements 1st Semester SDV101 - Orientation to: (1 Credit) met Planned for Spring 2016 BIO141 - Human Anatomy And Physiology I a (4 Credits) unmet Schedule Course ENG111 - College Composition I (3 Credits) met In progress INPROGRESS, Fall 2015 HIM111 - Medical Terminology (3 Credits) met Planned for Spring 2016 3 credits Social Science Elective - Electives should be selected with advice of a counselor or academic advisor met 1 course placeholder planned, course selection required Elective placeholder for Spring 2016 (3 Credits) unmet Schedule Course a.BIO 141-142 must be completed with a grade of "C" or higher. Students preparing for entry to competitive placement programs (Nursing, Dental Hygiene, Diagnostic Medical Sonography, and Radiography) must earn a grade of "B" or higher. 2nd Semester BIO142 - Human Anatomy & Physiology II a (4 Credits) unmet Schedule Course 3 Humanities/Fine Arts Elective Credits - Electives should be selected with...
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...Pythagorean Theorem: Finding Treasure Patricia Diggs MAT 221 Introduction to Algebra Instructor Bridget Simmons May 12, 2013 Pythagorean Theorem: Finding Treasure In this paper I will attempt to use the Pythagorean Theorem to solve the problem which reads Ahmed has half of a treasure map which indicates that the treasure is buried in the desert 2x+6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x+4 paces to the east. If they share their information they can find x and save a lot of digging. What is x? The Pythagorean Theorem states that in every right triangle with legs the length a and b and hypotenuse c, these lengths have the relationship of a2 + b2=c2. a=x b=(2x+4)2 c=(2x+6)2 this is the binomials we will insert into our equation x2+(2x+4)2=(2x+6)2 the binomials into the Pythagorean Theorem x2+4x2+16x+16=24x36 the binomial squared. The 4x2can be subtracted out first x2+16x+16=24x+36 now subtract 24x from both sides x2+-8x+16=36 now subtract 36 from both sides x2-8x-20=0 this is a quadratic equation to solve by factoring and using the zero factor. (x- )(x+ ) the coefficient of x2 is one (1). We can start with a pair of parenthesis with an x each. We have to find...
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...Buried Treasure Allen Raikes MAT 221 DR. Steven Flanders Ahmed and Vanessa has a treasure that needs to be located. It’s up to me and to help find it, I will do that by using the Pythagorean quadratic. On page 371 we learned that the Ahmed has a half of the map and Vanessa has the other half. Ahmed half in say the treasure is buried in the desert 2x+6 paces from Castle Rock and Vanessa half says that when she gets to Castle Rock to walk x paces to the north, and then walk 2x+4 paces to the east. So with all the information I have I need to find x. the Pythagorean Theorem states that in every right triangle with legs of length a and b and hypotenuse c, which have of a relationship of a2+b2=c2. In this problem I will let a=x, and b= 2x+4, and c=2x+6. So know it time to put the measurements into the Theorem equation; 1) X2+ (2x+4)2=(2x+6)2 this is the Pythagorean Theorem 2) X2+4x2+16x+16 = 4x2+ 24x+36 are the binomials squared 3) 4x2 & 4x2 on both sides can be subtracted out. 4) X2+16x+16 = 24x +36 subtract 16x from both sides 5) X2+16 = 8x+36 now subtract 36 from both sides 6) X2-20 = 8x 7) X2-8x-20=0 this is the quadratic equation to solve by factoring using the zero factor. 8) (x-)(x+) Since the coefficient of x2 is 1 we have to start with pair of () is the 20 in negative there will be one + and one – in the binomials. 9) -2, 10: -10,2: -5,4; -4, -5 10) Looks I’m going to use -10 and 2 is...
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...Distributive Property Kimberly Smith MAT 221 Introductions to Algebra Instructor: Andrew Halverson February 15,2014 I will be using distributive property to solve how properties of real numbers are used while I simplified the three given expression. To solve these three math problem I will use the distributive property to remove the parentheses in the problem. I will also combine like terms by adding coefficients and add or subtract when needed. Finally I would have my answer and then decide if the answer is simplified, if not I will simplify. The solving of properties of real number the properties of real numbers are important to know in all subjects, even complex numbers, because many of the properties are shared. Additionally the argument to any equation in algebra is real; therefore, algebraic expressions only manipulate reals (that is, if you have integer coefficients and no radicals). 1. 2a(a-5)+4(a-5) = The given expression 2a^2-10a+4a-20 = I will use the distributive property to remove parentheses so I can combine like terms by adding coefficient. 2a^2-6a-20 = Is simplified no combine like terms by adding coefficients 2a^2-6a-20 = Answer 2. 2w – 3 + 3(w – 4) – 5(w – 6)= The given expression 2w - 3 + 3(w - 4) - 5(w - 6) = Distributive property removes parentheses 2w - 3 + 3w - 12 - 5w + 30 = Combine like terms 2w + 3w - 5w - 3 -12 + 30 = Combine like terms by adding coefficients and add and subtract to get sum. Use the commutative...
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